TSTP Solution File: NUM542+2 by Beagle---0.9.51
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : NUM542+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Aug 22 10:52:03 EDT 2023
% Result : Theorem 14.02s 4.54s
% Output : CNFRefutation 14.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 46
% Syntax : Number of formulae : 126 ( 29 unt; 33 typ; 3 def)
% Number of atoms : 260 ( 25 equ)
% Maximal formula atoms : 24 ( 2 avg)
% Number of connectives : 294 ( 127 ~; 113 |; 26 &)
% ( 8 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 47 ( 27 >; 20 *; 0 +; 0 <<)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 25 ( 25 usr; 6 con; 0-3 aty)
% Number of variables : 77 (; 77 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ sdtlseqdt0 > iLess0 > aSubsetOf0 > aElementOf0 > isFinite0 > isCountable0 > aSet0 > aElement0 > sdtpldt0 > sdtmndt0 > #nlpp > szszuzczcdt0 > szmzizndt0 > szmzazxdt0 > slbdtrb0 > sbrdtbr0 > xn > xm > szNzAzT0 > sz00 > slcrc0 > #skF_7 > #skF_11 > #skF_6 > #skF_1 > #skF_4 > #skF_12 > #skF_13 > #skF_5 > #skF_10 > #skF_8 > #skF_3 > #skF_2 > #skF_9
%Foreground sorts:
%Background operators:
%Foreground operators:
tff('#skF_7',type,
'#skF_7': $i > $i ).
tff('#skF_11',type,
'#skF_11': ( $i * $i ) > $i ).
tff(sbrdtbr0,type,
sbrdtbr0: $i > $i ).
tff(aSet0,type,
aSet0: $i > $o ).
tff(szszuzczcdt0,type,
szszuzczcdt0: $i > $i ).
tff('#skF_6',type,
'#skF_6': ( $i * $i * $i ) > $i ).
tff(sdtmndt0,type,
sdtmndt0: ( $i * $i ) > $i ).
tff('#skF_1',type,
'#skF_1': $i > $i ).
tff(aElement0,type,
aElement0: $i > $o ).
tff(szNzAzT0,type,
szNzAzT0: $i ).
tff(sdtlseqdt0,type,
sdtlseqdt0: ( $i * $i ) > $o ).
tff(sz00,type,
sz00: $i ).
tff('#skF_4',type,
'#skF_4': ( $i * $i * $i ) > $i ).
tff('#skF_12',type,
'#skF_12': ( $i * $i ) > $i ).
tff(sdtpldt0,type,
sdtpldt0: ( $i * $i ) > $i ).
tff(aSubsetOf0,type,
aSubsetOf0: ( $i * $i ) > $o ).
tff('#skF_13',type,
'#skF_13': $i ).
tff('#skF_5',type,
'#skF_5': ( $i * $i * $i ) > $i ).
tff(isCountable0,type,
isCountable0: $i > $o ).
tff('#skF_10',type,
'#skF_10': ( $i * $i ) > $i ).
tff('#skF_8',type,
'#skF_8': ( $i * $i ) > $i ).
tff(aElementOf0,type,
aElementOf0: ( $i * $i ) > $o ).
tff(slcrc0,type,
slcrc0: $i ).
tff(isFinite0,type,
isFinite0: $i > $o ).
tff('#skF_3',type,
'#skF_3': ( $i * $i * $i ) > $i ).
tff('#skF_2',type,
'#skF_2': ( $i * $i ) > $i ).
tff(iLess0,type,
iLess0: ( $i * $i ) > $o ).
tff(xm,type,
xm: $i ).
tff(szmzizndt0,type,
szmzizndt0: $i > $i ).
tff(xn,type,
xn: $i ).
tff(szmzazxdt0,type,
szmzazxdt0: $i > $i ).
tff('#skF_9',type,
'#skF_9': ( $i * $i ) > $i ).
tff(slbdtrb0,type,
slbdtrb0: $i > $i ).
tff(f_453,hypothesis,
( aElementOf0(xm,szNzAzT0)
& aElementOf0(xn,szNzAzT0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1964) ).
tff(f_211,axiom,
( aSet0(szNzAzT0)
& isCountable0(szNzAzT0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNATSet) ).
tff(f_97,axiom,
! [W0] :
( aSet0(W0)
=> aSubsetOf0(W0,W0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSubRefl) ).
tff(f_388,definition,
! [W0] :
( ( aSubsetOf0(W0,szNzAzT0)
& ( W0 != slcrc0 ) )
=> ! [W1] :
( ( W1 = szmzizndt0(W0) )
<=> ( aElementOf0(W1,W0)
& ! [W2] :
( aElementOf0(W2,W0)
=> sdtlseqdt0(W1,W2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefMin) ).
tff(f_219,axiom,
! [W0] :
( aElementOf0(W0,szNzAzT0)
=> ( aElementOf0(szszuzczcdt0(W0),szNzAzT0)
& ( szszuzczcdt0(W0) != sz00 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSuccNum) ).
tff(f_84,definition,
! [W0] :
( aSet0(W0)
=> ! [W1] :
( aSubsetOf0(W1,W0)
<=> ( aSet0(W1)
& ! [W2] :
( aElementOf0(W2,W1)
=> aElementOf0(W2,W0) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSub) ).
tff(f_507,negated_conjecture,
~ ( ( sdtlseqdt0(xm,xn)
=> ( ( aSet0(slbdtrb0(xm))
& ! [W0] :
( aElementOf0(W0,slbdtrb0(xm))
<=> ( aElementOf0(W0,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(W0),xm) ) ) )
=> ( ( aSet0(slbdtrb0(xn))
& ! [W0] :
( aElementOf0(W0,slbdtrb0(xn))
<=> ( aElementOf0(W0,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(W0),xn) ) ) )
=> ( ! [W0] :
( aElementOf0(W0,slbdtrb0(xm))
=> aElementOf0(W0,slbdtrb0(xn)) )
| aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn)) ) ) ) )
& ( ( aSet0(slbdtrb0(xm))
& ! [W0] :
( aElementOf0(W0,slbdtrb0(xm))
<=> ( aElementOf0(W0,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(W0),xm) ) )
& aSet0(slbdtrb0(xn))
& ! [W0] :
( aElementOf0(W0,slbdtrb0(xn))
<=> ( aElementOf0(W0,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(W0),xn) ) )
& ! [W0] :
( aElementOf0(W0,slbdtrb0(xm))
=> aElementOf0(W0,slbdtrb0(xn)) )
& aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn)) )
=> sdtlseqdt0(xm,xn) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
tff(f_303,axiom,
! [W0,W1] :
( ( aElementOf0(W0,szNzAzT0)
& aElementOf0(W1,szNzAzT0) )
=> ( sdtlseqdt0(W0,W1)
| sdtlseqdt0(szszuzczcdt0(W1),W0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLessTotal) ).
tff(f_435,definition,
! [W0] :
( aElementOf0(W0,szNzAzT0)
=> ! [W1] :
( ( W1 = slbdtrb0(W0) )
<=> ( aSet0(W1)
& ! [W2] :
( aElementOf0(W2,W1)
<=> ( aElementOf0(W2,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(W2),W0) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSeg) ).
tff(f_241,axiom,
! [W0] :
( aElementOf0(W0,szNzAzT0)
=> ( W0 != szszuzczcdt0(W0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNatNSucc) ).
tff(f_269,axiom,
! [W0] :
( aElementOf0(W0,szNzAzT0)
=> sdtlseqdt0(W0,szszuzczcdt0(W0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLessSucc) ).
tff(f_283,axiom,
! [W0,W1] :
( ( aElementOf0(W0,szNzAzT0)
& aElementOf0(W1,szNzAzT0) )
=> ( ( sdtlseqdt0(W0,W1)
& sdtlseqdt0(W1,W0) )
=> ( W0 = W1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLessASymm) ).
tff(f_295,axiom,
! [W0,W1,W2] :
( ( aElementOf0(W0,szNzAzT0)
& aElementOf0(W1,szNzAzT0)
& aElementOf0(W2,szNzAzT0) )
=> ( ( sdtlseqdt0(W0,W1)
& sdtlseqdt0(W1,W2) )
=> sdtlseqdt0(W0,W2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLessTrans) ).
tff(c_216,plain,
aElementOf0(xn,szNzAzT0),
inference(cnfTransformation,[status(thm)],[f_453]) ).
tff(c_108,plain,
aSet0(szNzAzT0),
inference(cnfTransformation,[status(thm)],[f_211]) ).
tff(c_34,plain,
! [W0_27] :
( aSubsetOf0(W0_27,W0_27)
| ~ aSet0(W0_27) ),
inference(cnfTransformation,[status(thm)],[f_97]) ).
tff(c_807,plain,
! [W0_188] :
( aElementOf0(szmzizndt0(W0_188),W0_188)
| ( slcrc0 = W0_188 )
| ~ aSubsetOf0(W0_188,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_388]) ).
tff(c_112,plain,
! [W0_72] :
( ( szszuzczcdt0(W0_72) != sz00 )
| ~ aElementOf0(W0_72,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_219]) ).
tff(c_825,plain,
( ( szszuzczcdt0(szmzizndt0(szNzAzT0)) != sz00 )
| ( szNzAzT0 = slcrc0 )
| ~ aSubsetOf0(szNzAzT0,szNzAzT0) ),
inference(resolution,[status(thm)],[c_807,c_112]) ).
tff(c_981,plain,
~ aSubsetOf0(szNzAzT0,szNzAzT0),
inference(splitLeft,[status(thm)],[c_825]) ).
tff(c_984,plain,
~ aSet0(szNzAzT0),
inference(resolution,[status(thm)],[c_34,c_981]) ).
tff(c_988,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_108,c_984]) ).
tff(c_990,plain,
aSubsetOf0(szNzAzT0,szNzAzT0),
inference(splitRight,[status(thm)],[c_825]) ).
tff(c_114,plain,
! [W0_72] :
( aElementOf0(szszuzczcdt0(W0_72),szNzAzT0)
| ~ aElementOf0(W0_72,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_219]) ).
tff(c_1181,plain,
! [W2_221,W0_222,W1_223] :
( aElementOf0(W2_221,W0_222)
| ~ aElementOf0(W2_221,W1_223)
| ~ aSubsetOf0(W1_223,W0_222)
| ~ aSet0(W0_222) ),
inference(cnfTransformation,[status(thm)],[f_84]) ).
tff(c_1214,plain,
! [W0_72,W0_222] :
( aElementOf0(szszuzczcdt0(W0_72),W0_222)
| ~ aSubsetOf0(szNzAzT0,W0_222)
| ~ aSet0(W0_222)
| ~ aElementOf0(W0_72,szNzAzT0) ),
inference(resolution,[status(thm)],[c_114,c_1181]) ).
tff(c_222,plain,
( ~ aElementOf0('#skF_13',slbdtrb0(xn))
| ~ sdtlseqdt0(xm,xn) ),
inference(cnfTransformation,[status(thm)],[f_507]) ).
tff(c_559,plain,
~ sdtlseqdt0(xm,xn),
inference(splitLeft,[status(thm)],[c_222]) ).
tff(c_218,plain,
aElementOf0(xm,szNzAzT0),
inference(cnfTransformation,[status(thm)],[f_453]) ).
tff(c_142,plain,
! [W1_92,W0_91] :
( sdtlseqdt0(szszuzczcdt0(W1_92),W0_91)
| sdtlseqdt0(W0_91,W1_92)
| ~ aElementOf0(W1_92,szNzAzT0)
| ~ aElementOf0(W0_91,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_303]) ).
tff(c_5527,plain,
! [W2_435,W0_436] :
( aElementOf0(W2_435,slbdtrb0(W0_436))
| ~ sdtlseqdt0(szszuzczcdt0(W2_435),W0_436)
| ~ aElementOf0(W2_435,szNzAzT0)
| ~ aElementOf0(W0_436,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_435]) ).
tff(c_5563,plain,
! [W1_92,W0_91] :
( aElementOf0(W1_92,slbdtrb0(W0_91))
| sdtlseqdt0(W0_91,W1_92)
| ~ aElementOf0(W1_92,szNzAzT0)
| ~ aElementOf0(W0_91,szNzAzT0) ),
inference(resolution,[status(thm)],[c_142,c_5527]) ).
tff(c_282,plain,
! [W0_150] :
( sdtlseqdt0(xm,xn)
| aElementOf0(W0_150,slbdtrb0(xn))
| ~ aElementOf0(W0_150,slbdtrb0(xm)) ),
inference(cnfTransformation,[status(thm)],[f_507]) ).
tff(c_1423,plain,
! [W0_150] :
( aElementOf0(W0_150,slbdtrb0(xn))
| ~ aElementOf0(W0_150,slbdtrb0(xm)) ),
inference(negUnitSimplification,[status(thm)],[c_559,c_282]) ).
tff(c_573,plain,
! [W0_159] :
( ( szszuzczcdt0(W0_159) != W0_159 )
| ~ aElementOf0(W0_159,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_241]) ).
tff(c_584,plain,
szszuzczcdt0(xn) != xn,
inference(resolution,[status(thm)],[c_216,c_573]) ).
tff(c_306,plain,
! [W0_149] :
( sdtlseqdt0(xm,xn)
| sdtlseqdt0(szszuzczcdt0(W0_149),xn)
| ~ aElementOf0(W0_149,slbdtrb0(xn)) ),
inference(cnfTransformation,[status(thm)],[f_507]) ).
tff(c_1150,plain,
! [W0_149] :
( sdtlseqdt0(szszuzczcdt0(W0_149),xn)
| ~ aElementOf0(W0_149,slbdtrb0(xn)) ),
inference(negUnitSimplification,[status(thm)],[c_559,c_306]) ).
tff(c_134,plain,
! [W0_84] :
( sdtlseqdt0(W0_84,szszuzczcdt0(W0_84))
| ~ aElementOf0(W0_84,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_269]) ).
tff(c_5641,plain,
! [W1_439,W0_440] :
( ( W1_439 = W0_440 )
| ~ sdtlseqdt0(W1_439,W0_440)
| ~ sdtlseqdt0(W0_440,W1_439)
| ~ aElementOf0(W1_439,szNzAzT0)
| ~ aElementOf0(W0_440,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_283]) ).
tff(c_6243,plain,
! [W0_468] :
( ( szszuzczcdt0(W0_468) = W0_468 )
| ~ sdtlseqdt0(szszuzczcdt0(W0_468),W0_468)
| ~ aElementOf0(szszuzczcdt0(W0_468),szNzAzT0)
| ~ aElementOf0(W0_468,szNzAzT0) ),
inference(resolution,[status(thm)],[c_134,c_5641]) ).
tff(c_6266,plain,
( ( szszuzczcdt0(xn) = xn )
| ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0)
| ~ aElementOf0(xn,szNzAzT0)
| ~ aElementOf0(xn,slbdtrb0(xn)) ),
inference(resolution,[status(thm)],[c_1150,c_6243]) ).
tff(c_6280,plain,
( ( szszuzczcdt0(xn) = xn )
| ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0)
| ~ aElementOf0(xn,slbdtrb0(xn)) ),
inference(demodulation,[status(thm),theory(equality)],[c_216,c_6266]) ).
tff(c_6281,plain,
( ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0)
| ~ aElementOf0(xn,slbdtrb0(xn)) ),
inference(negUnitSimplification,[status(thm)],[c_584,c_6280]) ).
tff(c_6286,plain,
~ aElementOf0(xn,slbdtrb0(xn)),
inference(splitLeft,[status(thm)],[c_6281]) ).
tff(c_6302,plain,
~ aElementOf0(xn,slbdtrb0(xm)),
inference(resolution,[status(thm)],[c_1423,c_6286]) ).
tff(c_6312,plain,
( sdtlseqdt0(xm,xn)
| ~ aElementOf0(xn,szNzAzT0)
| ~ aElementOf0(xm,szNzAzT0) ),
inference(resolution,[status(thm)],[c_5563,c_6302]) ).
tff(c_6318,plain,
sdtlseqdt0(xm,xn),
inference(demodulation,[status(thm),theory(equality)],[c_218,c_216,c_6312]) ).
tff(c_6320,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_559,c_6318]) ).
tff(c_6321,plain,
~ aElementOf0(szszuzczcdt0(xn),szNzAzT0),
inference(splitRight,[status(thm)],[c_6281]) ).
tff(c_6325,plain,
( ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| ~ aSet0(szNzAzT0)
| ~ aElementOf0(xn,szNzAzT0) ),
inference(resolution,[status(thm)],[c_1214,c_6321]) ).
tff(c_6332,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_216,c_108,c_990,c_6325]) ).
tff(c_6334,plain,
sdtlseqdt0(xm,xn),
inference(splitRight,[status(thm)],[c_222]) ).
tff(c_224,plain,
( aElementOf0('#skF_13',slbdtrb0(xm))
| ~ sdtlseqdt0(xm,xn) ),
inference(cnfTransformation,[status(thm)],[f_507]) ).
tff(c_6335,plain,
~ sdtlseqdt0(xm,xn),
inference(splitLeft,[status(thm)],[c_224]) ).
tff(c_6337,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_6334,c_6335]) ).
tff(c_6338,plain,
aElementOf0('#skF_13',slbdtrb0(xm)),
inference(splitRight,[status(thm)],[c_224]) ).
tff(c_242,plain,
! [W0_146] :
( aElementOf0(W0_146,szNzAzT0)
| ~ aElementOf0(W0_146,slbdtrb0(xm))
| ~ sdtlseqdt0(xm,xn) ),
inference(cnfTransformation,[status(thm)],[f_507]) ).
tff(c_6540,plain,
! [W0_495] :
( aElementOf0(W0_495,szNzAzT0)
| ~ aElementOf0(W0_495,slbdtrb0(xm)) ),
inference(demodulation,[status(thm),theory(equality)],[c_6334,c_242]) ).
tff(c_6551,plain,
aElementOf0('#skF_13',szNzAzT0),
inference(resolution,[status(thm)],[c_6338,c_6540]) ).
tff(c_6675,plain,
! [W0_505] :
( aElementOf0(szmzizndt0(W0_505),W0_505)
| ( slcrc0 = W0_505 )
| ~ aSubsetOf0(W0_505,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_388]) ).
tff(c_6700,plain,
( ( szszuzczcdt0(szmzizndt0(szNzAzT0)) != sz00 )
| ( szNzAzT0 = slcrc0 )
| ~ aSubsetOf0(szNzAzT0,szNzAzT0) ),
inference(resolution,[status(thm)],[c_6675,c_112]) ).
tff(c_6761,plain,
~ aSubsetOf0(szNzAzT0,szNzAzT0),
inference(splitLeft,[status(thm)],[c_6700]) ).
tff(c_6764,plain,
~ aSet0(szNzAzT0),
inference(resolution,[status(thm)],[c_34,c_6761]) ).
tff(c_6768,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_108,c_6764]) ).
tff(c_6770,plain,
aSubsetOf0(szNzAzT0,szNzAzT0),
inference(splitRight,[status(thm)],[c_6700]) ).
tff(c_8203,plain,
! [W2_602,W0_603,W1_604] :
( aElementOf0(W2_602,W0_603)
| ~ aElementOf0(W2_602,W1_604)
| ~ aSubsetOf0(W1_604,W0_603)
| ~ aSet0(W0_603) ),
inference(cnfTransformation,[status(thm)],[f_84]) ).
tff(c_8247,plain,
! [W0_72,W0_603] :
( aElementOf0(szszuzczcdt0(W0_72),W0_603)
| ~ aSubsetOf0(szNzAzT0,W0_603)
| ~ aSet0(W0_603)
| ~ aElementOf0(W0_72,szNzAzT0) ),
inference(resolution,[status(thm)],[c_114,c_8203]) ).
tff(c_122,plain,
! [W0_77] :
( ( szszuzczcdt0(W0_77) != W0_77 )
| ~ aElementOf0(W0_77,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_241]) ).
tff(c_6564,plain,
szszuzczcdt0('#skF_13') != '#skF_13',
inference(resolution,[status(thm)],[c_6551,c_122]) ).
tff(c_240,plain,
! [W0_146] :
( sdtlseqdt0(szszuzczcdt0(W0_146),xm)
| ~ aElementOf0(W0_146,slbdtrb0(xm))
| ~ sdtlseqdt0(xm,xn) ),
inference(cnfTransformation,[status(thm)],[f_507]) ).
tff(c_6802,plain,
! [W0_146] :
( sdtlseqdt0(szszuzczcdt0(W0_146),xm)
| ~ aElementOf0(W0_146,slbdtrb0(xm)) ),
inference(demodulation,[status(thm),theory(equality)],[c_6334,c_240]) ).
tff(c_15071,plain,
! [W0_836,W2_837,W1_838] :
( sdtlseqdt0(W0_836,W2_837)
| ~ sdtlseqdt0(W1_838,W2_837)
| ~ sdtlseqdt0(W0_836,W1_838)
| ~ aElementOf0(W2_837,szNzAzT0)
| ~ aElementOf0(W1_838,szNzAzT0)
| ~ aElementOf0(W0_836,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_295]) ).
tff(c_15109,plain,
! [W0_836] :
( sdtlseqdt0(W0_836,xn)
| ~ sdtlseqdt0(W0_836,xm)
| ~ aElementOf0(xn,szNzAzT0)
| ~ aElementOf0(xm,szNzAzT0)
| ~ aElementOf0(W0_836,szNzAzT0) ),
inference(resolution,[status(thm)],[c_6334,c_15071]) ).
tff(c_15148,plain,
! [W0_836] :
( sdtlseqdt0(W0_836,xn)
| ~ sdtlseqdt0(W0_836,xm)
| ~ aElementOf0(W0_836,szNzAzT0) ),
inference(demodulation,[status(thm),theory(equality)],[c_218,c_216,c_15109]) ).
tff(c_226,plain,
! [W0_147] :
( aElementOf0(W0_147,slbdtrb0(xn))
| ~ sdtlseqdt0(szszuzczcdt0(W0_147),xn)
| ~ aElementOf0(W0_147,szNzAzT0)
| ~ sdtlseqdt0(xm,xn) ),
inference(cnfTransformation,[status(thm)],[f_507]) ).
tff(c_9831,plain,
! [W0_686] :
( aElementOf0(W0_686,slbdtrb0(xn))
| ~ sdtlseqdt0(szszuzczcdt0(W0_686),xn)
| ~ aElementOf0(W0_686,szNzAzT0) ),
inference(demodulation,[status(thm),theory(equality)],[c_6334,c_226]) ).
tff(c_9835,plain,
! [W1_92] :
( aElementOf0(W1_92,slbdtrb0(xn))
| sdtlseqdt0(xn,W1_92)
| ~ aElementOf0(W1_92,szNzAzT0)
| ~ aElementOf0(xn,szNzAzT0) ),
inference(resolution,[status(thm)],[c_142,c_9831]) ).
tff(c_9853,plain,
! [W1_687] :
( aElementOf0(W1_687,slbdtrb0(xn))
| sdtlseqdt0(xn,W1_687)
| ~ aElementOf0(W1_687,szNzAzT0) ),
inference(demodulation,[status(thm),theory(equality)],[c_216,c_9835]) ).
tff(c_6333,plain,
~ aElementOf0('#skF_13',slbdtrb0(xn)),
inference(splitRight,[status(thm)],[c_222]) ).
tff(c_9874,plain,
( sdtlseqdt0(xn,'#skF_13')
| ~ aElementOf0('#skF_13',szNzAzT0) ),
inference(resolution,[status(thm)],[c_9853,c_6333]) ).
tff(c_9889,plain,
sdtlseqdt0(xn,'#skF_13'),
inference(demodulation,[status(thm),theory(equality)],[c_6551,c_9874]) ).
tff(c_15083,plain,
! [W0_836] :
( sdtlseqdt0(W0_836,'#skF_13')
| ~ sdtlseqdt0(W0_836,xn)
| ~ aElementOf0('#skF_13',szNzAzT0)
| ~ aElementOf0(xn,szNzAzT0)
| ~ aElementOf0(W0_836,szNzAzT0) ),
inference(resolution,[status(thm)],[c_9889,c_15071]) ).
tff(c_15362,plain,
! [W0_842] :
( sdtlseqdt0(W0_842,'#skF_13')
| ~ sdtlseqdt0(W0_842,xn)
| ~ aElementOf0(W0_842,szNzAzT0) ),
inference(demodulation,[status(thm),theory(equality)],[c_216,c_6551,c_15083]) ).
tff(c_15659,plain,
! [W0_847] :
( sdtlseqdt0(W0_847,'#skF_13')
| ~ sdtlseqdt0(W0_847,xm)
| ~ aElementOf0(W0_847,szNzAzT0) ),
inference(resolution,[status(thm)],[c_15148,c_15362]) ).
tff(c_16375,plain,
! [W0_860] :
( sdtlseqdt0(szszuzczcdt0(W0_860),'#skF_13')
| ~ aElementOf0(szszuzczcdt0(W0_860),szNzAzT0)
| ~ aElementOf0(W0_860,slbdtrb0(xm)) ),
inference(resolution,[status(thm)],[c_6802,c_15659]) ).
tff(c_10220,plain,
! [W1_704,W0_705] :
( ( W1_704 = W0_705 )
| ~ sdtlseqdt0(W1_704,W0_705)
| ~ sdtlseqdt0(W0_705,W1_704)
| ~ aElementOf0(W1_704,szNzAzT0)
| ~ aElementOf0(W0_705,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_283]) ).
tff(c_10278,plain,
! [W0_84] :
( ( szszuzczcdt0(W0_84) = W0_84 )
| ~ sdtlseqdt0(szszuzczcdt0(W0_84),W0_84)
| ~ aElementOf0(szszuzczcdt0(W0_84),szNzAzT0)
| ~ aElementOf0(W0_84,szNzAzT0) ),
inference(resolution,[status(thm)],[c_134,c_10220]) ).
tff(c_16381,plain,
( ( szszuzczcdt0('#skF_13') = '#skF_13' )
| ~ aElementOf0('#skF_13',szNzAzT0)
| ~ aElementOf0(szszuzczcdt0('#skF_13'),szNzAzT0)
| ~ aElementOf0('#skF_13',slbdtrb0(xm)) ),
inference(resolution,[status(thm)],[c_16375,c_10278]) ).
tff(c_16401,plain,
( ( szszuzczcdt0('#skF_13') = '#skF_13' )
| ~ aElementOf0(szszuzczcdt0('#skF_13'),szNzAzT0) ),
inference(demodulation,[status(thm),theory(equality)],[c_6338,c_6551,c_16381]) ).
tff(c_16402,plain,
~ aElementOf0(szszuzczcdt0('#skF_13'),szNzAzT0),
inference(negUnitSimplification,[status(thm)],[c_6564,c_16401]) ).
tff(c_16411,plain,
( ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| ~ aSet0(szNzAzT0)
| ~ aElementOf0('#skF_13',szNzAzT0) ),
inference(resolution,[status(thm)],[c_8247,c_16402]) ).
tff(c_16418,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_6551,c_108,c_6770,c_16411]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : NUM542+2 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.15/0.36 % Computer : n007.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu Aug 3 15:02:38 EDT 2023
% 0.15/0.36 % CPUTime :
% 14.02/4.54 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.02/4.55
% 14.02/4.55 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 14.02/4.58
% 14.02/4.58 Inference rules
% 14.02/4.58 ----------------------
% 14.02/4.59 #Ref : 6
% 14.02/4.59 #Sup : 2864
% 14.02/4.59 #Fact : 0
% 14.02/4.59 #Define : 0
% 14.02/4.59 #Split : 113
% 14.02/4.59 #Chain : 0
% 14.02/4.59 #Close : 0
% 14.02/4.59
% 14.02/4.59 Ordering : KBO
% 14.02/4.59
% 14.02/4.59 Simplification rules
% 14.02/4.59 ----------------------
% 14.02/4.59 #Subsume : 870
% 14.02/4.59 #Demod : 2882
% 14.02/4.59 #Tautology : 827
% 14.02/4.59 #SimpNegUnit : 185
% 14.02/4.59 #BackRed : 255
% 14.02/4.59
% 14.02/4.59 #Partial instantiations: 0
% 14.02/4.59 #Strategies tried : 1
% 14.02/4.59
% 14.02/4.59 Timing (in seconds)
% 14.02/4.59 ----------------------
% 14.02/4.59 Preprocessing : 0.76
% 14.02/4.59 Parsing : 0.35
% 14.02/4.59 CNF conversion : 0.08
% 14.02/4.59 Main loop : 2.74
% 14.02/4.59 Inferencing : 0.84
% 14.02/4.59 Reduction : 0.96
% 14.02/4.59 Demodulation : 0.64
% 14.02/4.59 BG Simplification : 0.09
% 14.02/4.59 Subsumption : 0.65
% 14.02/4.59 Abstraction : 0.07
% 14.02/4.59 MUC search : 0.00
% 14.02/4.59 Cooper : 0.00
% 14.02/4.59 Total : 3.56
% 14.02/4.59 Index Insertion : 0.00
% 14.02/4.59 Index Deletion : 0.00
% 14.02/4.59 Index Matching : 0.00
% 14.02/4.59 BG Taut test : 0.00
%------------------------------------------------------------------------------